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Finding the Third Proportional to 295,944 and 638,544

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Solution

The third proportional to 295,944 and 638,544 is: 1,377,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,944 : 638,544 = 638,544 : x
  2. Step 2: Convert to fraction form
    295,944/638,544 = 638,544/x
  3. Step 3: Cross multiply
    295,944x = 638,544 × 638,544
  4. Step 4: Simplify right side
    295,944x = 407,738,439,936
  5. Step 5: Solve for x
    x = 407,738,439,936/295,944
  6. Step 6: Final answer
    x = 1,377,755.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.